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Finding the Third Proportional to 184,143 and 278,705

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Solution

The third proportional to 184,143 and 278,705 is: 421,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,143 : 278,705 = 278,705 : x
  2. Step 2: Convert to fraction form
    184,143/278,705 = 278,705/x
  3. Step 3: Cross multiply
    184,143x = 278,705 × 278,705
  4. Step 4: Simplify right side
    184,143x = 77,676,477,025
  5. Step 5: Solve for x
    x = 77,676,477,025/184,143
  6. Step 6: Final answer
    x = 421,826.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.